Heat Transfer During Cellular Magnetoconvection in Liquid Gallium

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  • Md Abdul Rawoof Sayeed1,
  • Hakeemuddin Ahmed2,
  1. Department of Mathematics, Muffakham Jah College of Engineering and Technology, Bangara Hills, Road No #3, Hyderabad, India
  2. Department of Mechanical Engineering, Moulana Azad National Urdu University, Polytechnic, Kadapa, A.P, India

Published in Issue 2025-11-09

How to Cite

Heat Transfer During Cellular Magnetoconvection in Liquid Gallium. (2025). Communications in Nonlinear Analysis, 12(2). https://oiccpress.com/cna/article/view/17881

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Abstract

The effect of a vertically applied magnetic field on the heat transfer in a liquid Gallium layer at the onset of stationary convection is studied analytically by using the stress-free boundary conditions in this paper. Investigations are carried out to determine the heat transfer rate up to eight by adopting the approach of Kuo [9] that utilizes the expansion of thermal Rayleigh number ($R$). The results of the flow field are shown in the form of streamlines and the heat transfer characteristic is depicted as isotherms. The heat function concept was utilized to follow the path of convective heat transport in the liquid Gallium layer, which serves well to interpret the distribution of energy comprehensively in terms of heatlines. It is also shown that total energy (kinetic and potential energy) is reduced in liquid gallium due to the application of a vertical magnetic field. It is also shown that total energy (kinetic and potential energy) is reduced in liquid gallium due to the application of a vertical magnetic field.

Keywords

  • Thermal convection,
  • electrically conducing fluid,
  • magnetic field,
  • Nusselt number,
  • heat function
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References

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